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BGP reflection functors in root categories

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science china mathematics 2005年第8期48卷 1033-1045页

作者： XIAO Jie, ZHANG Guanglian1’2 & ZHU Bin department of Mathematical sciences, Tsinghua University, Beijing 100084, china department of mathematics, Yancheng teachers college, Yancheng 224002, china 1. department of Mathematical sciences Tsinghua University 100084 Beijing China 2. department of mathematics Yancheng Teachers College 224002 Yancheng China

We define the BGP-reflection functors in the derived categories and the root categories. By Ringel's Hall algebra approach, the BGP-reflection functor is applicable to obtain the classical Weyl group action on the Lie... 详细信息

关键词： m-cycle complexes, derived categories, BGP-reflections, Kac-Moody algebras.

POLYNOMIAL REGREssION IN THE REsEARCHOF HEROIN′s TOXICITY

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生物数学学报 1996年第3期11卷 7-10页

作者： Zhang Baoxi Cheng Ge Peng shunbo(department of mathematics) (department of Biology)(Guangzhou teacher’s college 510400)

The toxicity of heroin (the drug) which affects the health of mice was studied by using the regression analysis method based on the results of *** found that after the heroin was injected into the mice,the blood leucocyte number and body weight were decreased significantly,the bleeding time was prolonged,the activity of glutamic pyruvic tronsaminase(GPT) in mice hepatic tissue and the weight of heart raised with increasing of herion dose.

关键词： Polynomial regression Heroin

The Property of solution of a Nonstationary Forest Evolution system

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systems science and systems Engineering 1993年第3期3卷 281-288页

作者： WANG Dingjiang department of mathematics, Pingdingshan teacher’s college, He’nan 467000ZHANG Yufeng department of mathematics, Yanbian teacher’s college, Jilin 133000

This paper discusses the dynamic characteristics of a nonstationary forest age structure evolutionary process, and gives the analytic solution of the process. The existence, uniqueness and stability of the solution are discussed. By using the concept of critical proliferation rate, we obtain the sufficient conditions of the stability of the system.

关键词： forest critical proliferation rate stability.

EXACT VALUE OF THE HARMONIOUs CHROMATIC NUMBER OF A COMPLETE TRINARY TREE

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systems science and Mathematical sciences 1998年第1期11卷 26-31页

作者： LU Zhikang(Deperiment of mathematics, Hangzhou teacher,s college, Hangzhou 310012, china) 杭州师范学院数学系浙江杭州

The harmonious chromatic number of a graph G, denoted by h(G), is the leastnumber of colors needed to color the vertices of G in such a way that adarent verticesare colored by different colors and any two distinct edges receive dmerent color pairs- *** has shown that the problem of determiniug h(G) is a NP-hard problem. In thispaper we determine the exact value of the harmonious chromatic number of a completetrinary tree.

关键词： Graph harmonious chromatic number complete trinary tree adacent color.

The proof of Ushio's conjecture concerning path factorization of complete bipartite graphs

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science china mathematics 2006年第3期49卷 289-299页

作者： DU Beiliang & WANG Jian department of mathematics, suzhou University, suzhou 215006, china Nantong Vocational college, Nantong 226007, china department of mathematics Suzhou University Suzhou 215006 China Nantong Vocational college Nantong 226007 China

Let Km,n be a complete bipartite graph with two partite sets having m and n vertices, respectively. A Pv-factorization of Km,n is a set of edge-disjoint Pv-factors of Km,n which partition the set of edges of Km,n. When v is an even number, Wang and Ushio gave a necessary and sufficient condition for existence of Pv-factorization of Km,n. When k is an odd number, Ushio in 1993 proposed a conjecture. Very recently, we have proved that Ushio's conjecture is true when v = 4k - 1. In this paper we shall show that Ushio Conjecture is true when v = 4k + 1, and then Ushio's conjecture is true. That is, we will prove that a necessary and sufficient condition for the existence of a P4k+1-factorization of Km,n is (i) 2km ≤ (2k + 1)n,(ii) 2kn ≤ (2k + 1)m, (iii) m + n ≡ 0 (mod 4k + 1), (iv) (4k + 1)mn/[4k(m + n)] is an integer.

关键词： complete bipartite graph, factorization, Ushio Conjecture.

GLOBALLY TOPOLOGICAL EQUIVALENCE OFNONAUTONOMOUs sYsTEMs

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systems science and Mathematical sciences 1998年第4期11卷 299-304页

作者： CHEN Mingwei(department of mathematics, Hailal teacher,8 college, Haikou 571158, china)ZHENG Zuohuan(Institute of mathematics, Academia sinica, Beijing 100080, china)

The definition of the globally topological equivalence of nonautonomous sys-tems is introduced, and some sufficiency theorems about the globally topological equiva-lence of two systems are given.

关键词： Nonautonomous system globally topological equivalence globally asymp- totic quasi-equistability) uniform stability

Analogues of Hadwiger's Theorem in space IR^n—sufficient Conditions for a Convex Domain to Enclose Another

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Acta Mathematica sinica,English series 1995年第1期11卷 12-22页

作者： Zhou Jiazu department of mathematics,Guizhou Normal University,Guiyang,550001 china Li Haizhong department of mathematics,Zhengzhou University,Zhengzhou,450052 china Chen Xingyue department of mathematics,Chongqing teacher’s college,Yongchuan,632168 china 贵州师范大学数学系贵州贵阳郑州大学数学系河南郑州重庆师范高等专科学校数学系重庆

We estimate the kinematic measure of one convex domain moving to another under the group G of rigid motions in IR~*** first estimate the kinematic formula for the total scalar curvature ∫Rdv of the n-2 dimensional intersection submanifold D∩g *** we use Chern and Yen’s kinematic fundamental formula and our integral inequality to obtain a sufficient condition for one convex domain to contain another in IR~n(≥4).For n=4,we directly obtain another sufficient condition in IR~4.

关键词： Analogues of Hadwiger’s Theorem in space IR~n sufficient Conditions for a Convex Domain to Enclose Another IR

TWO　BOUNDARY　VALUE　PROBLEMs　FOR　THE　REGULAR　FUNCTIONs　WITH　VALUEs　IN　A　REAL　CLIFFORD　ALGEBRA　IN　THE　HYPERBALL

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systems science and Mathematical sciences 1996年第3期9卷 236-241页

作者： HUANG sha (department of mathematics, Hebei teacher’s University, shijiazhuang 050016, china) 河北师范大学数学系河北石家庄

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关键词： Boundary value problem regular function Clifford analysis

On Vector Quasi-Variational Inequality Problems in H-space

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Wuhan University Journal of Natural sciences 2002年第1期7卷 9-13页

作者： Mao Jian-feng 1 , He Xiao-lin 2 1.department of mathematics, Xianning teacher ’s college, Xianning 437005, Hubei, china 2.mathematics Teaching and Research section, Luzhou Medical college, Luzhou 646000, sichuan, china Xianning teacher’s college Department of Mathematics Xianning Hubei China Luzhou Medical college Mathematics Teaching and Research Section Luzhou Sichuan China (GRID:grid.410578.f)

The purpose to this paper is to study the existence problem of solutions to the vector quasivariational inequality for vector-valued functions inH-space.

关键词： H-space H-convex set transfer opened (transfer closed) H *-concave vector function (weakly) vector minimal point